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Simplifying 4(3y + -1) + 13 = 5y + 12 Reorder the terms: 4(-1 + 3y) + 13 = 5y + 12 (-1 * 4 + 3y * 4) + 13 = 5y + 12 (-4 + 12y) + 13 = 5y + 12 Reorder the terms: -4 + 13 + 12y = 5y + 12 Combine like terms: -4 + 13 = 9 9 + 12y = 5y + 12 Reorder the terms: 9 + 12y = 12 + 5y Solving 9 + 12y = 12 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 9 + 12y + -5y = 12 + 5y + -5y Combine like terms: 12y + -5y = 7y 9 + 7y = 12 + 5y + -5y Combine like terms: 5y + -5y = 0 9 + 7y = 12 + 0 9 + 7y = 12 Add '-9' to each side of the equation. 9 + -9 + 7y = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 7y = 12 + -9 7y = 12 + -9 Combine like terms: 12 + -9 = 3 7y = 3 Divide each side by '7'. y = 0.4285714286 Simplifying y = 0.4285714286
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